Compute the response of the system in Figure P2.97 for the case that the damping is linear viscous, the spring is a nonlinear soft spring of the form k(x) = kx - k₁x³ and the system is subject to a harmonic excitation of 300 N at a frequency equal to the natural frequency (wwn) and initial conditions of x0 = 0.01 m and v0 = 0.1 m/s. The system has a mass of 100 kg, a damping coefficient of 15 kg/s, and a linear stiffness coefficient of 2000 N/m. The value of k1 is taken to be 100 N/m3. Compute the solution and compare it to the hard spring solution (k(x) = kx + k1x3). ►x(t) m ►F (t) Figure P2.97